Question

Cups A and B are cone shaped and have heights of `12 cm` and `15 cm` and openings with radii of `5 cm` and `8 cm`, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

Answer 1

You must find the volume of each cup

Explanation:

Cup A Area

`V=πr^2 h/3`
`V=π5^2 12/3`
`V=π25*4`
`V=78.539*4`
`V=78.539*4`
`V = 314.156cm^3`

Cup B Area

`V=π8^2 15/3`
`V=π64 *5`
`V=201.062 *5`
`V= 1008.01cm^3`

Therefore, Cup A will overflow as the volume or how much water cup B contains is more than the volume of Cup A